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Finding the Fourth Proportional to 7,482.54, 11,217.12 and 3,097.20

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Solution

The fourth proportional to 7,482.54, 11,217.12 and 3,097.20 is: 4,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.54 : 11,217.12 = 3,097.20 : x
  2. Step 2: Convert to fraction form
    7,482.54/11,217.12 = 3,097.20/x
  3. Step 3: Cross multiply
    7,482.54x = 11,217.12 × 3,097.20
  4. Step 4: Simplify right side
    7,482.54x = 34,741,664.06
  5. Step 5: Solve for x
    x = 34,741,664.06/7,482.54
  6. Step 6: Final answer
    x = 4,643.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.